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3 years ago

Write the equation of the line that is parallel to the graph of y=1/2x+6, y-intercept is -2.

Mathematics

2 answers:

Likurg_2 [28]3 years ago

8 0

A parallel equation has to have the same slope so:
y=1/2x-2
is a parallel line

Masteriza [31]3 years ago

7 0

It's y= -2+6

hope it helps :) #yassmath

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3 years ago

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2 years ago

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erma4kov [3.2K]

Answer:

y=x-5

Step-by-step explanation:

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2 years ago

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Given f(x) =5x-6 and g(x)=x-4 find f^-1 of g^-1

tresset_1 [31]

Answer:

$f^{-1}(g^{-1}(x))=\dfrac{1}{5}x+2.$

Step-by-step explanation:

1. If $g(x)=x-4,$ then

$y=x-4,\\ \\x=y+4.$

Change y into x and x into y:

$y=x+4,\\ \\g^{-1}(x)=x+4.$

2. If $f(x)=5x-6,$ then

$y=5x-6,\\ \\5x=y+6,\\ \\x=\dfrac{y+6}{5}.$

Change y into x and x into y:

$y=\dfrac{x+6}{5},\\ \\f^{-1}(x)=\dfrac{x+6}{5}.$

3. Find $f^{-1}(g^{-1}(x)):$

$f^{-1}(g^{-1}(x))=f^{-1}(x+4)=\dfrac{(x+4)+6}{5}=\dfrac{x+10}{5}=\dfrac{1}{5}x+2.$

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3 years ago